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Finding the Third Proportional to 268,266 and 397,782

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Solution

The third proportional to 268,266 and 397,782 is: 589,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,266 : 397,782 = 397,782 : x
  2. Step 2: Convert to fraction form
    268,266/397,782 = 397,782/x
  3. Step 3: Cross multiply
    268,266x = 397,782 × 397,782
  4. Step 4: Simplify right side
    268,266x = 158,230,519,524
  5. Step 5: Solve for x
    x = 158,230,519,524/268,266
  6. Step 6: Final answer
    x = 589,826.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.